Search results for ""Author Michael Francis Atiyah""

Systems governed by non-linear differential equations are of fundamental importance in all branches of science, but our understanding of them is still extremely limited. In this book a particular system, describing the interaction of magnetic monopoles, is investigated in detail. The use of new geometrical methods produces a reasonably clear picture of the dynamics for slowly moving monopoles. This picture clarifies the important notion of solitons, which has attracted much attention in recent years. The soliton idea bridges the gap between the concepts of "fields" and "particles," and is here explored in a fully three-dimensional context. While the background and motivation for the work comes from physics, the presentation is mathematical. This book is interdisciplinary and addresses concerns of theoretical physicists interested in elementary particles or general relativity and mathematicians working in analysis or geometry. The interaction between geometry and physics through non-linear partial differential equations is now at a very exciting stage, and the book is a contribution to this activity. Originally published in 1988. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

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This beautifully illustrated anthology celebrates eighty years of history and intellectual inquiry at the Institute for Advanced Study, one of the world's leading centers for theoretical research. Featuring essays by current and former faculty and members along with photographs by Serge J-F. Levy, the book captures the spirit of curiosity, freedom, and comradeship that is a hallmark of this unique community of scholars. Founded in 1930 in Princeton, New Jersey, the institute encourages and supports fundamental research in the sciences and humanities--the original, often speculative thinking that can transform how we understand our world. Albert Einstein was among the first in a long line of brilliant thinkers to be affiliated with the institute. They include Kurt Godel, George Kennan, J. Robert Oppenheimer, Erwin Panofsky, Homer A. Thompson, John von Neumann, and Hermann Weyl. This volume offers an intimate portrait in words and images of a storied institution that might best be described as a true academic village. The personal reflections collected here--written by leading figures from across the disciplines--bring this exceptional academic institution and its history vibrantly to life. The contributors to this anthology are Michael Atiyah, Chantal David, Freeman Dyson, Jane F. Fulcher, Peter Goddard, Barbara Kowalzig, Wolf Lepenies, Paul Moravec, Joan Wallach Scott, and David H. Weinberg.

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